El abuelo, Don José, es de edad avanzada, aunque no es centenario. El año pasado su edad era múltiplo de 8, y el año próximo es múltiplo de 7.


¿Cuantos años tiene Don José?

Answers

Answer 1

Answer: 97

Step-by-step explanation:

This can be translated to:

The Grandfather, Don José, is a old man, but is not over 100 years old.

Last year his age was a multiple of 8, and next year will be a multiple of 7.

Find the age of Don José.

Ok, if the age of Don José is X, we have that:

X is a number of two digits.

X + 1 is a multiple of 7

X - 1 is a multiple of 8.

ok, the multiples of 7 are:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98

the multiples of 8 are:

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96

Now we must find any two numbers (one for each set) that are distanced by 2 units (because the difference between X + 1 and X - 1 is: (X + 1) - (X - 1) = 2)

We also must have that the larger number comes from the set of the multiples of 7, and the smaller number comes from the set of multiples of 8, the numbers are:

98, is multiple of 7 and this is X + 1

96 is multiple of 8 and this is X - 1

then X = 97,


Related Questions

Urgent. Explain in words, how you would plot (0, 4) on a coordinate plane.

Answers

0 means u do not move right or left at all and the 4 means u move up 4 units.

Answer:

in the ordered pair, (0,4), the zero represents the x number, meaning that you would not move in any direction on the x axis( it stays on the origin). the 4 means you will move 4 units up the y axis. in the end you will have one point that in 4 units up from the origin.

Step-by-step explanation:

Please help! This is Quadratic Formula and the discriminant. The answer is -3+3 square root symbol 5 over 2. Every time i try to get that answer I get a different one. Please help asap

Answers

Answer:

See explanation

Step-by-step explanation:

[tex]n^2+3n-7=2[/tex]

Subtract 2 from both sides:

[tex]n^2+3n-9=0[/tex]

Using the quadratic formula:

[tex]n=\dfrac{-3\pm\sqrt{9+36}}{2}=\dfrac{-3\pm \sqrt{45}}{2}=\dfrac{-3\pm 3\sqrt{5}}{2}[/tex]

I agree with you on the answer, have you tried both adding and subtracting the root? That is important, because there are two solutions to this problem. Feel free to discuss more and I can try to help!

a boys buys 9 apples for Rs 9.60 and sells them at 11 for rs 12 find his gain or loss percent​

Answers

He gains $1.40 when marking up the price after Rs $9.60 but loses a $1 keeping it lower the rs’s $12

A torch and a battery cost £2.50 altogether.
The torch costs £1.50 more than the battery.
What fraction of the total price is the torch?
Give your answer in its simplest form.​
PLEASE CHECK UR ANSWER

Answers

Answer:

1 1/2 i think

Step-by-step explanation:  to find out the batteries price you subtract 2.50  from 1.50 and get 1 then convert to fractions so 1 1/2 and 1 and when you add them together you get the total price so the torch accounts for 1 1/2 of the total price.

Lizzie goes to the Lakeside Mall with friends. She spends $25 and returns home with $45. How much money dd in dollars does Lizzie start with? Write an equation to show the amount of money Lizzie starts with.​

Answers

Answer:

$25+$45=$70

Step-by-step explanation:

The only thing you have to do is add $25 and $45 hope this helps :)

please answer from the attachment

Answers

Look at the attached picture

Hope it will help you..

Good luck for the test...

(◕ᴗ◕✿)(ʘᴗʘ✿)

What value of x makes the
equation frue?
X - 13 = 25

Answers

Answer:

38

Step-by-step explanation:

x-13=25

+13  +13

_________

x=38

Answer:

38

Step-by-step explanation:

38-13=25.

To find this add thirteen to 25

Evaluate the expression 3 x
{10 +1} +5.

Answers

Answer:

38

Step-by-step explanation:

3 x {10 +1} +5.

PEMDAS

Parentheses first

3 x {11} +5.

Then multiply and divide

33+5

38

Answer:

38

Step-by-step explanation:

3 x {10 +1} +5             Following PEMDAS, solve in the parentheses

3 x 11 + 5                   Multiply 3 x 11

33 + 5                       Add

38

What is the measure of mop

Answers

61 degrees, hope this helps!

Find the surface area.

Any help will be appreciated. Thank you

Answers

Answer: 144 units squared

Step-by-step explanation:

Rec- 3 x 11 = 33

Rec- 4 x 11 = 44

Rec- 5 x 11 = 55

Tri- 3 x 4 = 12    12/.5 = 6

Tri- 3 x 4 = 12    12/.5 = 6

33 + 44 + 55 + (6 x 2)

33 + 44 + 55 + 12 = 144

Find the area of the parallelogram

Answers

Answer:

17.94

Step-by-step explanation:

Area of a parallelogram is base times height.

Base: 3.9 in

Height: 4.6 in

3.9x4.6=17.94

Raphael surveyed his coworkers to find out how many hours they spend on the Internet each week.
The results are shown below.

14, 22, 10, 6, 9, 3, 13, 7, 12, 2, 26, 11, 13, 25

Drag numbers to record the frequency for each range in the table.
Numbers may be used once, more than once, or not at all.
01234567
Hours on the Internet
Hours Frequency
0–4
5–9
10–14
15–19
20–24
25–29















I WILLL MAKE BRAINLIEST AND GIVE THEM ALL MY POINTS AND GIVE THEM % STARS AND A LIKE IF YOU ANSWER THESE TWO QUESTIONS ASAP NOW!!!!!!!!!!!!!!




















The histogram shows the scores on a recent science test.
Using the histogram, select all of the true statements that describe the data.

Histogram named as

Answers

The frequency of each range in the table is as follows:-

Range       Frequency

[tex]0-4[/tex]                [tex]2[/tex]

[tex]5-9[/tex]                [tex]3[/tex]

[tex]10-14[/tex]             [tex]6[/tex]

[tex]15-19[/tex]             [tex]0[/tex]

[tex]20-24[/tex]             [tex]1[/tex]

[tex]25-29[/tex]             [tex]2[/tex]

Frequency

The frequency of a particular value is the number of times the value occurs in the data.

How to find the frequency of a particular value?

First, find the number of times the particular value occurs in the given data.

Given, Raphael surveyed his co-workers to find out their spent hours on the internet each week.

The results are:-

[tex]14,22,10,6,9,3,13,7,12,2,26,11,13,25[/tex]

Thus, the number of occurence of a particular range can be written as follows:-

Range        Hours in given data       Frequeny

[tex]0-4[/tex]                     [tex]3,2[/tex]                              [tex]2[/tex]

[tex]5-9[/tex]                    [tex]6,9,7[/tex]                            [tex]3[/tex]

[tex]10-14[/tex]           [tex]14,10,13,12,11,13[/tex]             [tex]6[/tex]

[tex]15-19[/tex]                     [tex]0[/tex]                               [tex]0[/tex]

[tex]20-24[/tex]                    [tex]22[/tex]                              [tex]1[/tex]

[tex]25-29[/tex]                  [tex]26,25[/tex]                           [tex]2[/tex]

Hence, the frequency of each range in the table is as follows:-

Range               Frequency

[tex]0-4[/tex]                         [tex]2[/tex]

[tex]5-9[/tex]                         [tex]3[/tex]

[tex]10-14[/tex]                      [tex]6[/tex]

[tex]15-19[/tex]                      [tex]0[/tex]

[tex]20-24[/tex]                      [tex]1[/tex]

[tex]25-29[/tex]                      [tex]2[/tex]

#Learn more about the frequency here-

https://brainly.com/question/5102661

#SPJ2

Micheal has a set of 5 cards shown below. Micheal wil randomly select a card, not replace it, then select another card. What is the probibality That he selects a prime number and then a 1?

Answers

Answer:

3/20 or 15%

Step-by-step explanation:

Out of 1,2,3,4, and 5, there are 3 prime numbers. This makes the odds of selecting one of those prime numbers 3/5. Then, saying that he does pick a prime number and discards that card, there are now four cards, one of them being the number one. His chances of selecting this card is 1/4.

To find the probability you need to multiply the two probabilities together.

3/5 times 1/4 is 3/20.

So your answer is 3/20 or 15%.

What is the sum of the geometric series 2+6+18+...+486?

Answers

Answer:

728

Step-by-step explanation:

2+6+18+...+486

a=2

r=6/2=3

[tex]a_{n}=ar^{n-1}\\486=2(3)^{n-1}\\3^{n-1}=486/2=243=3^5\\n-1=5\\n=5+1=6\\S_{6}=2\frac{3^6-1}{3-1} \\=2\frac{729-1}{2}\\=728[/tex]

if there are 60 songs on a mp3 and 21 are rock. what is the ration of rock songs not being played at all

Answers

Answer:

rock: not rock

7:13

Step-by-step explanation:

First determine how many songs are not rock

60-21 = 39

There are 39 songs that are not rock

ratio of rock to not rock

rock: not rock

21:39

We can divide by 3

21/3:39/3

7 : 13

A person invests 6500 dollars in a bank. The bank pays 5.5% interest compounded daily. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 9300 dollars?

Answers

Answer:

6.5 years

Step-by-step explanation:

ASSIGNMEN
Solve the following linear system of equations using substitution.
y = 3x - 5
y = 2x - 6
O (3, 2)
0 (-5, -6)
(-1,-8)
(1, -2)
DONE

Answers

Answer:

(-1,-8)

Step-by-step explanation:

which is the equation of a line that has a slope of -2/3 and passes through point (-3,-1)

Answers

Answer:

y = -2/3x - 3

Step-by-step explanation:

y = mx + b

m = slope

(-3,-1) = (x,y)

Plus in the coordinates

-1 = -2/3(-3) + b

negative times negative = positive

-2/3 * -3 = 2

-1 = 2 +b

Use inverse operations

-2 --2

-3 = b

y = -2/3x - 3

Answer:

y = -2/3 x - 3

Step-by-step explanation:

since you have a point and a slope, you can use point - slope form

[tex]y - y_{1} = m (x - x_{1} )[/tex]   plug in the point as [tex](x_{1}, y_{1})[/tex] and the slope as my - (-1) = -2/3(x - (-3))      change two negatives into positivey + 1 = -2/3 (x+3)            distribute the -2/3y + 1 = -2/3x - 2              subtract 1 from both sidesy     = -2/3 x -3

Huixian needs 171 pens , 63 pencils and 27 erasers into identical gift bags so that each item is equally distrusted among the gift bags . Find the number of each item in a gift bag

Answers

Answer:

57 pens per bag

21 pencils per bag

9 erasers per bag

Step-by-step explanation:

Here, we are to distribute a specific portion of each of the items in each of the gift bags.

What we must take into consideration is that the number of items per gift bag must be equal.

Thus, what we do is to divide the total number of each item by 3 to get exactly the number of each items that would be in each of the gift bags

For the pens, we have 171/3 = 57 pens per bag

For the pencils, we have 63/3 = 21 pencils per bag

For the erasers, we have 27/3 = 9 erasers per bag

What is the GFC of 15 and 57. Plz tell me I need help

Answers

Step-by-step explanation:

3

A car travels 294 miles in 5 hours and 15 minutes. How many miles does it travel per hour?​

Answers

Answer:

Hey!

Your answer is 56 miles!

Step-by-step explanation:

To find speed, we do 294 divided by 5hrs and 15mins (5.25)

So next= 294 / 5.25

Which gives us 56 mph!

HOPE THIS HELPS!!

The car travel 56 miles per hour.

What is Speed?

The speed can be defined as the rate at which an object covers some distance.

Here, we know that,

Speed = Distance / Time

Now, Distance = 294 miles

         Time = 5 hours and 15 minutes

                  = 5.25 hours.

Now, Speed = 294 / 5.25

                     = 56 miles per hour.

Thus, the car travel 56 miles per hour.

Learn more about Speed from:

https://brainly.com/question/7359669

#SPJ2

Charlie has a box that is In the shape of a rectangular prism its height is twice the length its length is three times the width in the word measures 4 inches what is the volume of the box the volume of the box is

Answers

Answer:

1152 in ^ 3

Step-by-step explanation:

We know that the width is:

w = 4 in

They also tell us that the length is three times the width, therefore:

l = 3 * w

l = 3 * 4 = 12

l = 12 in

and as for the height, they tell us that it is twice the length, so:

h = 2 * l

h = 2 * 12 = 24

h = 24 in

now the volume is w * l * h, replacing:

v = 4 * 12 * 24

v = 1152

volume equals 1152 in ^ 3

determine the slope an y intercept :
y = 3/2x + 3

Answers

Answer:

Slope: -3/2 y intercept: 3

Step-by-step explanation:

what is the domain and range of this graph? ​

Answers

Answer:

Domain- {-2,2}

Range-{-3,2}

Step-by-step explanation:

Find each boundary of the line and make the corresponding points because its a continuous line.

Complete 5-8 for 15 points.

Answers

-3 because 5- 8 is a negative integer

Im really dumb. Like really dumb. Please help! Gn

Answers

Answer:

3√34

17.5

Step-by-step explanation:

Use the Pythagorean theorem: a^2 + b^2 = c^2

a = 9

b = 15

9^2 + 15^2 = c^2

81 + 225 = c^2

306 = c^2

c = 3√34 ≈ 17.5

Answer:

your answer would be 17.5 and i think you are very smart

Step-by-step explanation:

The prism's volume is the area of the base,
times the height,
Since the ratio of the areas is then the volume of
the cylinder is times the volume of the prism.
V = (4rº), or

Answers

Answer:2r(2r)

R

pi/4

pi times r cubed

Step-by-step explanation: just answer it e2020

Which steps should be taken to solve the equation 2x+3=x+5. Check all that apply

Answers

Answer:

Remove 1 x tile and 3 unit tiles from each side

Step-by-step explanation:

technically you can do any of them, but I don't think that's what your teacher wants.

A hemisphere has a diameter of 48 inches. What is the volume of the
hemisphere? Use 3.14 for and round to the nearest tenth.

Answers

Answer:

9,216π or 28,938.2 meters³

Step-by-step explanation:

Given: diameter 48 inches

Radius 24 inches

Note:

Volume of hemisphere = volume of sphere / 2

Volume of hemisphere = 1/2 • 4/3 • πr³

= 1/2• 4/3×π×24³

= 1/2•18432π

= 9,216π

= 28,938.2 meters³

The repairmen are fixing 9 cars 2 motorcycle and 6 trucks what is the ratio of cars to motorcycle?

Answers

Answer:

9:2

Step-by-step explanation:

Put in what we know

cars: motorcycles

9         2

Other Questions
Can u pls awnser the following :( Indica qu es una propiedad especfica de la materia. Adems explica por qu son tiles las propiedades especficas de la materia frente a las generales. Can you help me find MAD for this Find the solution set.x2 + 16x + 64 = 0 Which expression represents a factorization of 32m + 56mp ? Body Mass Index (BMI) is given by the formula BMI=705W/H2 , where W is the weight of a person in pounds, and H is their height, measured in inches. If a person is 6 feet 3 inches tall, and weighs 209 pounds, what is their BMI? Round your answer to the nearest tenth. Here is another possible theme expressed in ""Feathered Friend"" :Advanced technology leaves a void that people try to fill with companionship. What details from the text connect to support this theme? Explain. What is El Nino and La Nina explained? Please help fast In triangle ABC, c is the hypotenuse, 0=25 degrees, and b=3Find the length of c PLEASE HELP MEEEE--Identify the coefficient and exponent of these very large and very small numbers represented in scientific notationIdentify how each number would be represented in scientific notation.5,890,000 = 2 x 106a= 7b =0.0000521 = 100c=d= Describe the details of each campaign listed on this map: 1871, 1872, 1873, and the Red River Campaign. Who led them for the U.S.? What is significant about the Red River Campaign? whAT IS IT Let A be an array of n numbers. Recall that a pair of indices i, j is said to be under an inversion if A[i] > A[j] and i < j. Design a divide-and-conquer based algorithm to count the number of inversions in an array of n numbers. You can start by splitting into two subproblems. Answer clearly how you do the merge step, then obtain a recurrence relation that captures the run time of the algorithm. Solve the recurrence relation. Write the complete pseudocode. {(0, 2), (3, 3), (8, 7), (2, 2), (3,9) } What is the domain and range for each set of ordered pairs is important that engineers build a structure that is safe. What do they look for when testing their designs? Failure points Fair tests Prototypes Variables In terms of his life's work, which of the following groups of people does Frederick Douglass best fit into?A.Mahatma Gandhi, Martin Luther King, Cesar ChavezB.George Washington, Winston Churchill, Nelson MandelaC.Zora Neale Hurston, Langston Hughes, Spike LeeD.William Shakespeare, Mark Twain, Agatha Christie(Only answer if you are certain you know the answer) Why were women a big part of the second great awakening Michael has a set of five cards shown below. Michael will randomly select a card, not replace it, and then select another card. What is the probability that he selects a prime number and then a 1? * what does annulment mean Which of the following statement(s) is(are) true regarding municipal bonds? I) A municipal bond is a debt obligation issued by state or local governments. II) A municipal bond is a debt obligation issued by the federal government. III) The interest income from a municipal bond is exempt from federal income taxation. IV) The interest income from a municipal bond is exempt from state and local taxation in the issuing state. About how many times larger is 6.14 x 10-3 than 1.98 x 10-4?